Theory and Modern Applications
Table 1 The LT of the new extensions of Wiman and Prabhakar functions with the power-law functions [ 28 ]
The Wiman and Prabhakar functions with the power-law functions | LT |
|---|---|
\(\chi ^{\varpi +\theta -1}E_{\vartheta ,\varpi +\theta } ( {\chi ^{\vartheta}} )\) | \(\xi ^{- ( {\varpi +\theta } )} ( {1-\xi ^{-\vartheta }} )^{-1}\) |
\(\chi ^{\varpi +\theta -1}E_{\vartheta ,\varpi +\theta }^{\tau}( {\chi ^{\vartheta}} )\) | \(\xi ^{- ( {\varpi +\theta } )} ( {1-\xi ^{-\vartheta }} )^{-\tau }\) |